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Finding the Fourth Proportional to 1,314.65, 1,972.08 and 390.19

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Solution

The fourth proportional to 1,314.65, 1,972.08 and 390.19 is: 585.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.65 : 1,972.08 = 390.19 : x
  2. Step 2: Convert to fraction form
    1,314.65/1,972.08 = 390.19/x
  3. Step 3: Cross multiply
    1,314.65x = 1,972.08 × 390.19
  4. Step 4: Simplify right side
    1,314.65x = 769,485.90
  5. Step 5: Solve for x
    x = 769,485.90/1,314.65
  6. Step 6: Final answer
    x = 585.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.